Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.LinkedList;
import java.util.ListIterator;

public class B {
	

	public static void main(String[] args) throws Exception{
		Scan scan=new Scan();
		Print print=new Print();
		int n=scan.scanInt();
		int h=scan.scanInt();
		double ans=0,var=0;
		int mul=2;
		ans=h/Math.sqrt(n);
		print.print(Double.toString(ans));
		for(int i=0;i<n-2;i++)
		{
			print.print(" "+Double.toString(ans*Math.sqrt(mul)));
			mul++;
		}
		System.out.println();
	}
	
	
	private static class Scan
	{
		private byte[] buf=new byte[1024];
		private int index;
		private InputStream in;
		private int total;
		public Scan()
		{
			in=System.in;
		}
		public int scan()throws IOException
		{
			if(total<0)
			throw new InputMismatchException();
			if(index>=total)
			{
				index=0;
				total=in.read(buf);
				if(total<=0)
				return -1;
			}
			return buf[index++];
		}
		public int scanInt()throws IOException
		{
			int integer=0;
			int n=scan();
			while(isWhiteSpace(n))
			n=scan();
			int neg=1;
			if(n=='-')
			{
				neg=-1;
				n=scan();
			}
			while(!isWhiteSpace(n))
			{
				if(n>='0'&&n<='9')
				{
					integer*=10;
					integer+=n-'0';
					n=scan();
				}
				else throw new InputMismatchException();
			}
			return neg*integer;
		}
		public double scanDouble()throws IOException
		{
			double doub=0;
			int n=scan();
			while(isWhiteSpace(n))
			n=scan();
			int neg=1;
			if(n=='-')
			{
				neg=-1;
				n=scan();
			}
			while(!isWhiteSpace(n)&&n!='.')
			{
				if(n>='0'&&n<='9')
				{
					doub*=10;
					doub+=n-'0';
					n=scan();
				}
				else throw new InputMismatchException();
			}
			if(n=='.')
			{
				n=scan();
				double temp=1;
				while(!isWhiteSpace(n))
				{
					if(n>='0'&&n<='9')
					{
						temp/=10;
						doub+=(n-'0')*temp;
						n=scan();
					}
					else throw new InputMismatchException();
				}
			}
			return doub*neg;
		}
		public String scanString()throws IOException
		{
			StringBuilder sb=new StringBuilder();
			int n=scan();
			while(isWhiteSpace(n))
			n=scan();
			while(!isWhiteSpace(n))
			{
				sb.append((char)n);
				n=scan();
			}
			return sb.toString();
		}
		private boolean isWhiteSpace(int n)
		{
			if(n==' '||n=='\n'||n=='\r'||n=='\t'||n==-1)
			return true;
			return false;
		}
	}
	
	private static class Print
	{
		private final OutputStream out;
		/*public Print(OutputStream outputStream)
		{
			writer=new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
		}*/
		public Print()
		{
			this.out=System.out;
		}
		public void print(String str)throws IOException
		{
			//buf=str.getBytes();
			for (int i = 0; i < str.length(); i++)
			{
				/*if (i != 0)
				out.write(' ');*/
				out.write(str.charAt(i));
			}
		}
		public void printLine(String str)throws IOException
		{
			print(str);
			out.write('\n');
		}
		public void close()throws IOException
		{
			out.close();
		}
	}
	
}